I can execute various Git commands from Visual Studio Code, however I couldn't find a way to visualize the history.
You won't need a plugin to see commit history with Visual Studio Code 1.44 or more.
This is a unified view for visualizing time-series events (for example, Git commits, file saves, test runs, etc.) for a file. The Timeline view automatically updates showing the timeline for the currently active editor, by default. You can control this default behavior by toggling the eye icon in the view toolbar. Also, similar to other views, the Timeline view supports find or filter as you type.
The Timeline view is collapsed by default at the bottom of the File Explorer. Selecting the Timeline sash will expand the Timeline view.
Here is the Timeline view in action: